Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.
Michael I. Gil
Aizerman Problem Continuous Finite Dimensional Systems Control Systems Freezing Method Linear And Nonlinear Systems Matriy-Valued Functions Positivity of Impulse Functions control control system nonlinear system stability stability theory syst